A:
Positive:
1 x 52562431323 x 2285323131 x 1695562367 x 7845139713 x 7372011541 x 3410932077 x 25306911003 x 47771
Negative:
-1 x -525624313-23 x -22853231-31 x -16955623-67 x -7845139-713 x -737201-1541 x -341093-2077 x -253069-11003 x -47771
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 525,624,313, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 525,624,313 | |
| -1 | -525,624,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 525,624,313.
Example:
1 x 525,624,313 = 525,624,313
and
-1 x -525,624,313 = 525,624,313
Notice both answers equal 525,624,313
With that explanation out of the way, let's continue. Next, we take the number 525,624,313 and divide it by 2:
525,624,313 ÷ 2 = 262,812,156.5
If the quotient is a whole number, then 2 and 262,812,156.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 525,624,313 | |
| -1 | -525,624,313 |
Now, we try dividing 525,624,313 by 3:
525,624,313 ÷ 3 = 175,208,104.3333
If the quotient is a whole number, then 3 and 175,208,104.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 525,624,313 | |
| -1 | -525,624,313 |
Let's try dividing by 4:
525,624,313 ÷ 4 = 131,406,078.25
If the quotient is a whole number, then 4 and 131,406,078.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 525,624,313 | |
| -1 | 525,624,313 |
If you did it right, you will end up with this table:
| 1 | 23 | 31 | 67 | 713 | 1,541 | 2,077 | 11,003 | 47,771 | 253,069 | 341,093 | 737,201 | 7,845,139 | 16,955,623 | 22,853,231 | 525,624,313 |
| -1 | -23 | -31 | -67 | -713 | -1,541 | -2,077 | -11,003 | -47,771 | -253,069 | -341,093 | -737,201 | -7,845,139 | -16,955,623 | -22,853,231 | -525,624,313 |
Here are some more numbers to try:
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